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无约束优化问题的修正PRP共轭梯度法

乌彩英

应用数学2011,Vol.24Issue(1):25-29,5.
应用数学2011,Vol.24Issue(1):25-29,5.

无约束优化问题的修正PRP共轭梯度法

A Modified PRP Conjugate Gradient Algorithm for Unconstrained Optimization Problems

乌彩英1

作者信息

  • 1. 内蒙古大学数学科学学院,内蒙古,呼和浩特,010021
  • 折叠

摘要

Abstract

A new conjugate gradient algorithm is presented by combining the Newton and the PRP conjugate gradient methods, which can be seen as the modification of PRP method. The new method take both available gradient and the part second-order information.Our algorithm is shown to be global convergent under some assumptions. Numerical results are also reported.

关键词

共轭梯度/无约束优化/全局收敛/牛顿法

Key words

Conjugate gradient/Unconstrained optimization/Global convergence/Newton method

分类

数理科学

引用本文复制引用

乌彩英..无约束优化问题的修正PRP共轭梯度法[J].应用数学,2011,24(1):25-29,5.

基金项目

Supported by the Natural Science Foundation of Inner Mongolia Autonomous Region (2010BS0108) and SPH-IMU (Z20090135) (2010BS0108)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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